Chapter 4, Problem 4.15P

Interpretation Introduction

Interpretation:

In the given problem, whether the two methods differ significantly at the $95\%$ confidence level has to be given.

Concept Introduction:

Comparing Individual differences:

For numerous different samples, when two methods are used to make a single measurement, the paired t test is used. The equations used are:

$\begin{array}{l}{s}_d=\sqrt{\frac{{\displaystyle \sum {(d_i-\overline{d})}^2}}{n-1}}\\ t_{\text{calculated}}=\frac{\left|\overline{d}\right|}{s_d}\sqrt{n}\end{array}$

Where,

$d_i$ is the difference between the methods.

$\overline{d}$ is the mean of the differences

$s_d$ is the standard deviation

$n$ is the number of measurement.

To Give: Whether the two given methods differ significantly at the $95\%$ confidence level